Turn off Boost caching for specific modules... possible?

I have boost set up on my site and it has resulted in a nice performance gain. It is running 12h cycles to match the cron runs on www.sanduskyspotlight.com (3am/3pm). The problem I have discovered is with the Weather 6.x-5.18 module that gets displayed in a block in the left side bar on the home page. Unfortunately, while everything else has improved, the weather is now only updated at 12 hour intervals.

As best I can tell, boost is page specific and there is no way to simply exclude a module or block specifically from boost caching. I was warned by some to never bump cron / boost to once per hour or even every other hour or it would seriously slow down the site; however, if the module / block cannot be excluded I don't see any other choice.

Any thoughts on the issue?

Boost Settings as follows:

Boost - Static page cache: enabled
Gzip page compression (Boost & Core): enabled
Boost - HTML - Default maximum cache lifetime: enabled

Cache pages that contain URL Variables
Cache html documents/pages
Cache .css
Cache .js
Only allow ASCII characters in path
Do not cache if php error on page
Do not cache if a message is on the page
Do not cache if there is an alias for this URL.

Clear expired pages on cron runs: enabled

Clear the front page cache when promoted
Clear all cached pages referenced via CCK with a node on insert/update/delete
Clear all cached terms pages associated with a node on insert/update/delete

Clear all cached pages in a menu on an insert/update/delete operation: disabled

Clear all cached views pages associated with a node on update/delete
Clear all cached views pages associated with a node on insert

Only Ignore Clear Entire Cache Commands (Recommended if caching css/js files)

Aggressive setting of the boost cookie
Asynchronous Operation: output HTML, close connection, then store static file.
Aggressive Gzip: Deliver gzipped content independent of the request header.

If this is the dumbest issue ever posted on this module, I apologize in advance, but I am very new to boost and was nervous to even try it, and I don't want to screw anything up experimenting